12958642961 has 8 divisors (see below), whose sum is σ = 14330355744. Its totient is φ = 11619205920.

The previous prime is 12958642919. The next prime is 12958642987. The reversal of 12958642961 is 16924685921.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12958642961 - 2²² = 12954448657 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12958642261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8068091 + ... + 8069696.

It is an arithmetic number, because the mean of its divisors is an integer number (1791294468).

Almost surely, 2^12958642961 is an apocalyptic number.

12958642961 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12958642961 is a deficient number, since it is larger than the sum of its proper divisors (1371712783).

12958642961 is a wasteful number, since it uses less digits than its factorization.

12958642961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16137871.

The product of its digits is 1866240, while the sum is 53.

The spelling of 12958642961 in words is "twelve billion, nine hundred fifty-eight million, six hundred forty-two thousand, nine hundred sixty-one".